{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 119,
   "id": "pleasant-cooling",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "<ipython-input-119-94cbb5bd0a29>:48: UserWarning: This figure includes Axes that are not compatible with tight_layout, so results might be incorrect.\n",
      "  plt.tight_layout()\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x504 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "\n",
    "def sigma_to_box_radius(sigma, n):  \n",
    "    wi = np.sqrt((12*sigma*sigma/n)+1)\n",
    "    wl = np.floor(wi)  \n",
    "    if wl%2==0:\n",
    "        wl=wl-1\n",
    "    wu = wl+2\n",
    "                \n",
    "    mi = (12*sigma*sigma - n*wl*wl - 4*n*wl - 3*n)/(-4*wl - 4)\n",
    "    m = np.round(mi)\n",
    "\n",
    "    return np.sqrt((m*wl*wl+(n-m)*wu*wu-n)/12.0)\n",
    "\n",
    "siga3 = []\n",
    "siga4 = []\n",
    "siga5 = []\n",
    "sig = np.arange(0.5,10,0.1)\n",
    "for s in sig:\n",
    "    siga3.append(sigma_to_box_radius(s, 3))\n",
    "    siga4.append(sigma_to_box_radius(s, 4))\n",
    "    siga5.append(sigma_to_box_radius(s, 5))\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "#with plt.style.context(\"seaborn-dark\"):\n",
    "plt.figure(figsize=(12,7))\n",
    "plt.plot(sig, sig, label = \"Original sigma\", linestyle='--')\n",
    "plt.plot(sig, siga3, label = \"Order 3 approx. sigma (3 passes)\")\n",
    "plt.plot(sig, siga4, label = \"Order 4 approx. sigma (4 passes)\")\n",
    "plt.plot(sig, siga5, label = \"Order 5 approx. sigma (5 passes)\")\n",
    "plt.legend(frameon=True)\n",
    "#plt.grid()\n",
    "plt.grid(True, which=\"both\", color='black', linestyle='--', linewidth=1, alpha=0.05)\n",
    "ax= plt.gca()\n",
    "ax.patch.set_alpha(0.2)\n",
    "ax.patch.set_facecolor(\"tab:blue\")\n",
    "plt.xlabel(r'Gaussian $\\sigma$')\n",
    "plt.ylabel(r'Approx. $\\sigma$')\n",
    "\n",
    "sub_axes = plt.axes([0.6, 0.15, 0.30, 0.30], frameon=True,facecolor=[0.9,0.9,0.9,1], alpha=0) \n",
    "sub_axes.plot(sig[:21], sig[:21], linestyle='--') \n",
    "sub_axes.plot(sig[:21], siga3[:21]) \n",
    "sub_axes.plot(sig[:21], siga4[:21]) \n",
    "sub_axes.plot(sig[:21], siga5[:21]) \n",
    "sub_axes.grid(True, which=\"both\", color='black', linestyle='--', linewidth=1, alpha=0.05)\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.savefig(\"sigma.pdf\")\n",
    "plt.savefig(\"sigma.png\", facecolor=\"white\", dpi=300)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
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